A private college advertised that last year their freshman students, on average, had a score of 1180 on the college entrance exam. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year at least one of their freshman students had a score of at least 1180 on the exam. Last year, the number of their freshman students who had a score of 1180 or below on the exam was equal to the number of their freshman students who had a score of 1180 or above on the exam. Last year all of their freshman students had a score of more than 950 on the exam. Last year at least one of their freshman students had a score of exactly 1180 on the exam. Next year some of their freshman students will have a score of at least 1180 on the exam. None of the above statements are true.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![A private college advertised that last year their freshman students, on average, had a score of 1180 on the college entrance exam. Assuming that average refers
to the mean, which of the following claims must be true based on this information?
Note: More than one statement could be true. If none of the statements is true, mark the appropriate box.
Last year at least one of their freshman students had a
score of at least 1180 on the exam.
Last year, the number of their freshman students who had a
score of 1180 or below on the exam was equal to the
number of their freshman students who had a score of 1180
or above on the exam.
Last year all of their freshman students had a score of more
than 950 on the exam.
Last year at least one of their freshman students had a
score of exactly 1180 on the exam.
Next year some of their freshman students will have a score
of at least 1180 on the exam.
None of the above statements are true.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbde096eb-9f76-422c-aa6c-31b99e526f1e%2Fdc1c29ad-9ecd-477d-ad98-7b460ca312e7%2Fv5wyoz_processed.png&w=3840&q=75)
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